MATLAB: How to generate random numbers from the Weibull-Gamma distribution

Question

Hello,

How to generate random numbers from the Weibull-Gamma distribution ? Something similar to https://www.mathworks.com/help/stats/gamrnd.html

Thanks

Answer 1

I'm not really familiar with the Weibull-Gamma distribution, do you mean the Gamma-Weibull distribution?

Or do you mean you want to generate random numbers from the Weibull distribution and control the scale parameter which is often referred to as λ:

https://en.wikipedia.org/wiki/Weibull_distribution

If that's the case the third input to wblpdf is the scale parameter - which is just called a in the documentation:

https://uk.mathworks.com/help/stats/weibull-distribution.html

Or, if the distribution you want is something different and you know it's formulation can't you generate the Weibull using wblpdf and the Gamma using gampdf and them combine them as necessary? Or model the distribution mathematically and generate the random numbers with your own code:

https://uk.mathworks.com/matlabcentral/answers/348488-how-can-i-make-a-custom-random-number-distribution

Hope this helps,

M.